Characterizing a subset of the PPS maintaining the reference hyperplane of the radial projection point

2014 ◽  
Vol 65 (12) ◽  
pp. 1876-1885 ◽  
Author(s):  
N Nasrabadi ◽  
A Dehnokhalaji ◽  
M Soleimani-damaneh
Keyword(s):  
Radial Projection ◽  
Projection Point ◽  
Reference Hyperplane

The volume of an isotropic random parallelotope

1979 ◽  
Vol 16 (1) ◽  
pp. 84-94 ◽  
Author(s):  
Harold Ruben
Keyword(s):  
Multivariate Statistics ◽  
Orthogonal Projection ◽  
Actual Distribution ◽  
Linear Subspaces ◽  
Radial Projection ◽  
Isotropic Random

The p-content of the p-parallelotope ∇p, n determined by p independent isotropic random points z1, …, zp in ℝn (1 < p ≦ n) can be expressed as a product of independent variates in two ways, by successive orthogonal projection onto linear subspaces and by radial projection of the points, enabling calculation of the actual distribution as well as the moments of ∇p, n. This is done explicitly in several cases. The results also have interest in multivariate statistics.

scholarly journals Harmonic morphisms applied to classical potential theory

2011 ◽  
Vol 202 ◽  
pp. 107-126
Author(s):  
Bent Fuglede
Keyword(s):  
Potential Theory ◽  
Unit Sphere ◽  
Harmonic Morphisms ◽  
Harmonic Morphism ◽  
Open Set ◽  
Superharmonic Functions ◽  
Radial Projection ◽  
Classical Potential ◽  
Classical Potential Theory

AbstractIt is shown that ifϕdenotes a harmonic morphism of type Bl between suitable Brelot harmonic spacesXandY, then a functionf, defined on an open setV ⊂ Y, is superharmonic if and only iff ∘ ϕis superharmonic onϕ–1(V) ⊂ X. The “only if” part is due to Constantinescu and Cornea, withϕdenoting any harmonic morphism between two Brelot spaces. A similar result is obtained for finely superharmonic functions defined on finely open sets. These results apply, for example, to the case whereϕis the projection from ℝNto ℝn(N &gt; n ≥1) or whereϕis the radial projection from ℝN\ {0} to the unit sphere in ℝN(N≥ 2).

scholarly journals Design of Three-Dimensional Path Following Guidance Logic

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Sungsu Park
Keyword(s):  
Numerical Simulations ◽  
Three Dimensional ◽  
Path Following ◽  
Guidance Law ◽  
Virtual Target ◽  
Projection Point ◽  
Motion Strategy

This paper presents a three-dimensional path following guidance logic. The proposed guidance logic is composed of the guidance law and the motion strategy of virtual target along the desired path. The guidance law makes a vehicle purse the virtual target, and the motion strategy explicitly specifies the motion of virtual target by introducing the concept of the projection point and the tangentially receding distance. The proposed logic is simple and efficient and yet provides precise path following. Numerical simulations are performed to demonstrate the effectiveness of the proposed guidance logic.

Use of the Modified Unilateral Cleft Lip Repair Technique to Establish a Cupid’s Bow With a Natural Structure

2020 ◽  
pp. 105566562096236
Author(s):  
Tatsuya Ishigaki ◽  
Akikazu Udagawa
Keyword(s):  
Surgical Technique ◽  
Cleft Lip ◽  
Surgical Techniques ◽  
Lateral Side ◽  
Natural Structure ◽  
Repair Technique ◽  
Triangular Flap ◽  
Cleft Lip Repair ◽  
Unilateral Cleft Lip Repair ◽  
Projection Point

Introduction: There are several surgical techniques for unilateral cleft lip repair. In most of these techniques, the points where the postoperative scars cross the vermilion border are on the peak of the Cupid’s bow. These scars make the shape of Cupid’s bow indistinct. To maintain the natural shape of the Cupid’s bow, we modified the surgical technique. Methods: We modified the modified Millard’s surgical technique (Onizuka’s surgical technique). The main point of this modification was as follows: we combined a small triangular flap and a vermilion triangular flap (described by Noordhoff). We maintained the projection point on the lateral side of cleft lip which was coordinated to the peak of the Cupid’s bow. Results: We could preserve the shape and symmetry of the peak of the Cupid’s bow. Conclusion: To keep the projection point on the affected side of cleft lip and the surrounding vermilion border as one curve structure is important in maintaining the natural shape of the Cupid’s bow.

scholarly journals Initiation of Attachment and Generation of Mature Focal Adhesions by Integrin-containing Filopodia in Cell Spreading

2006 ◽  
Vol 17 (10) ◽  
pp. 4237-4248 ◽  
Author(s):  
Michael A. Partridge ◽  
Eugene E. Marcantonio
Keyword(s):  
Total Internal Reflection ◽  
Fluorescent Protein ◽  
Focal Adhesions ◽  
Cell Spreading ◽  
Integrin Receptors ◽  
Cortical Actin ◽  
Cell Matrix ◽  
Cytoplasmic Proteins ◽  
Radial Projection ◽  
Anchor Points

Integrin receptors, and associated cytoplasmic proteins mediate adhesion, cell signaling and connections to the cytoskeleton. Using fluorescent protein chimeras, we analyzed initial integrin adhesion in spreading fibroblasts with Total Internal Reflection Fluorescence (TIRF) microscopy. Surprisingly, sequential radial projection of integrin and actin containing filopodia formed the initial cell-matrix contacts. These Cdc42-dependent, integrin-containing projections recruited cytoplasmic focal adhesion (FA) proteins in a hierarchical manner; initially talin with integrin and subsequently FAK and paxillin. Radial FA structures then anchored cortical actin bridges between them and subsequently cells reorganized their actin, a process promoted by Src, and characterized by lateral FA reorientation to provide anchor points for actin stress fibers. Finally, the nascent adhesions coalesced until they formed mature FAs.

Segmentation of retinal blood vessels using the radial projection and semi-supervised approach

2011 ◽  
Vol 44 (10-11) ◽  
pp. 2314-2324 ◽  
Author(s):  
Xinge You ◽  
Qinmu Peng ◽  
Yuan Yuan ◽  
Yiu-ming Cheung ◽  
Jiajia Lei
Keyword(s):  
Blood Vessels ◽  
Radial Projection ◽  
Retinal Blood Vessels

23NA-MRI OF THE HUMAN HEART USING A 3D RADIAL PROJECTION TECHNIQUE

2002 ◽  
Vol 47 (s1a) ◽  
pp. 458-459 ◽  
Author(s):  
R. Jerecic ◽  
M. Bock ◽  
C. Wacker ◽  
W. Bauer ◽  
L.R. Schad
Keyword(s):  
Human Heart ◽  
Projection Technique ◽  
Radial Projection ◽  
23Na Mri
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